How to calculate volume with length, width, and height?

When we multiply the length, width, and height of a cuboid, we get its volume. This means, Length x Width x Height = Volume of Cuboid . In other words, the capacity or volume of a cuboid or any rectangular box can be measured if we multiply these three dimensions together.

How to calculate length and width and height?

To calculate the length and width of a rectangle first, calculate the value of width 'w' by using the area of rectangle formula that is, 'w = A/l'. Then substitute the value of width in the formula of the perimeter of a rectangle and simplify the value of length 'l', that is, P = 2 (l + A/I).

How to find the height of a box given the length and width and volume?

If the box given is a rectangular box or a cuboid we can simply find out its height by dividing the volume of the box by-product of length and breadth . As the volume formula for cuboids is length × breadth × height.

What is the formula for calculating volume?

Height × width × length = volume If the height, width and length are measured in cm, the answer will be cm³.

How to calculate how many items will fit in a box?

Measure Your Items: Use a ruler or measuring tape to get the exact dimensions of your items. Choose the Right Box Type: Decide between a mailer box, moving box, and other specialized types based on your needs. The Boxery has a vast selection. Calculate the Volume of the Box: Multiply length by width by height .

What are the three ways to find volume?

To illustrate the effects of precision on data, volumes will be determined by three different methods: geometrically (measuring lengths); water displacement; and pycnometry . The composition of a mixed brass-aluminum cylinder and the volume of empty space within a hollow cylinder will also be found.

How to measure length, width, and height?

Size can be measured using different parts of an object like its length, its width, and its height. Length is the distance from one side of the object to the other. Width is the distance from front to back. Height is the distance from the top of an object to the bottom.

What are the 3 formulas for volume?

Formulas of Volume of Various Figures Shapes Volume Formula Variables Rectangular Solid or Cuboid V = l × w × h l = Length w = Width h = Height Cube V = a 3 a = Length of edge or side Cylinder V = π r 2 h r = Radius of the circular base h = Height Prism V = B × h B = Area of base, (B = side 2 or length.breadth) h = Height 6 more rows

What is the simple formula for volume?

Apply the formulas V=l×w×h V = l × w × h V = l \times w \times h V=l×w×h and V=b×h V = b × h V = b \times h V=b×h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

How do you manually calculate volume?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height . How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

What does l * w * h mean?

The standard notation for box dimensions is Length x Width x Height (L x W x H). Accuracy matters: Especially with larger or irregularly shaped boxes, measure twice to confirm your measurements.

What is the formula for volume in dimensions?

The dimensional formula of volume is derived from the formula of volume, which is Volume (V) = Length × breadth × height . The dimensional formula of length is [M^0 L^1 T^0]. On substituting this in the volume formula, we get the dimensional formula of volume as [M^0 L^3 T^0].

Length, Width & Height to Volume Calculator (2024)

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Contents

User Guide

This online tool calculates the volume of a rectangular shaped box, solid or space from the dimensions of length, width and height. There is no need to input values in the same measurement units, just select your preferred units for each dimension and calculated volume.

Once the measurements have been entered for length, width and height, the calculated volume will be shown in the answer box. Also a graphic will be shown of a scaled 3D drawing to the correct proportions and labelled with each dimension and calculated volume.

Formula

The formula used by this calculator to calculate the volume of a rectangular shaped object is:

V = L · W · H

Symbols

V = Volume
L = Length
W = Width
H = Height

Volume Dimensions – Length, Width & Height

Enter the measurement of length, width and height for the rectangular shape.

The following SI unit conversion factors in metres (m) are used for converting the measurement units specified for length, width and height:

SI Metric Prefix Length Units

quectometre (qm) – 1 x 10^-30 m
rontometre (rm) – 1 x 10^-27 m
yoctometre (ym) – 1 x 10^-24 m
zeptometre (zm) – 1 x 10^-21 m
attometre (am) – 1 x 10^-18 m
femtometre (fm) – 1 x 10^-15 m
picometre (pm) – 1 x 10^-12 m
nanometre (nm) – 1 x 10^-9 m
micrometre (µm) – 0.000001 m
millimetre (mm) – 0.001 m
centimetre (cm) – 0.01 m
decimetre (dm) – 0.1 m
metre (m) – 1 m
decametre (dam) – 10 m
hectometre (hm) – 100 m
kilometre (km) – 1,000 m
megametre (Mm) – 1,000,000 m
gigametre (Gm) – 1 x 10⁺⁹ m
terametre (Tm) – 1 x 10⁺¹² m
petametre (Pm) – 1 x 10⁺¹⁵ m
exametre (Em) – 1 x 10⁺¹⁸ m
zettametre (Zm) – 1 x 10⁺²¹ m
yottametre (Ym) – 1 x 10⁺²⁴ m
ronnametre (Rm) – 1 x 10⁺²⁷ m
quettametre (Qm) – 1 x 10⁺³⁰ m

Imperial and US Length Units

thousandth of an inch (thou) – 0.0000254 m
inch (in) – 0.0254 m
foot (ft) – 0.3048 m
yard (yd) – 0.9144 m
mile (mi) – 1,609.344 m
nautical mile (nmi) – 1,852 m

Astronomical Units

astronomical unit (au) – 149,597,870,700 m
light-year (ly) – 9,460,730,472,580,800 m
parsec (pc) – 30,856,775,814,913,672.789… m
kiloparsec (kpc) – 3.0856775814913672789… x 10⁺¹⁹ m
megaparsec (Mpc) – 3.0856775814913672789… x 10⁺²² m
gigaparsec (Gpc) – 3.0856775814913672789… x 10⁺²⁵ m

Volume Calculation

This is the volume of the rectangular shape which corresponds to the dimensions entered for length, width and height. The volume is calculated by multiplying together each dimension and then converting it into the selected volumetric units.

The following conversion factors in cubic metres (m³) are used to convert the calculated volume into different volumetric units:

Metric Volumetric Units

cubic nanometre (cu nm) – 1 x 10^-27 m³
cubic micrometre (cu µm) – 1 x 10^-18 m³
cubic millimetre (cu mm) – 1 x 10^-9 m³
cubic centimetre (cu cm) – 1 x 10^-6 m³
millilitre (mL) – 1 x 10^-6 m³
teaspoon (tsp, metric) – 5 x 10^-6 m³
dessertspoon (dsp, metric) – 1 x 10^-5 m³
tablespoon (Tbsp, metric) – 1.5 x 10^-5 m³
cup (metric) – 2.5 x 10^-4 m³
litre (L) – 1 x 10^-3 m³
cubic metre (cu m) – 1 m³
kilolitre (kL) – 1 m³
megalitre (ML) – 1000 m³
cubic kilometre (cu km) – 1 x 10⁺⁹ m³

English Imperial Volumetric Units

cubic thou (cu thou) –1.6387064 x 10^-14m³
teaspoon (tsp, imperial) – 5.91938802083… x 10^-6 m³
dessertspoon (dsp, imperial) – 1.18387760416… x 10^-5 m³
cubic inch (cu in) – 1.6387064 x 10^-5 m³
tablespoon (Tbsp, imperial) – 1.77581640625 x 10^-5 m³
fluid ounce (fl oz, imperial) – 2.84130625 x 10^-5 m³
cups (imperial)- 2.84130625 x 10^-4 m³
pint (pt, imperial) – 5.6826125 x 10^-4 m³
quart (qt, imperial) – 1.1365225 x 10^-3 m³
gallon (gal, imperial) – 4.54609 x 10^-3 m³
cubic foot (cu ft) – 0.028316846592 m³
cubic yard (cu yd) – 0.764554857984 m³
cubic mile (cu mi) – 4168181825.440579584 m³
cubic nautical mile (cu nmi) – 6352182208 m³

US Volumetric Units

cubic thou (cu thou) –1.6387064 x 10^-14m³
teaspoon (tsp, usa) – 4.92892159375 x 10^-6 m³
dessertspoon (dsp, usa) – 9.8578431875 x 10^-6 m³
tablespoon (Tbsp, usa) – 1.478676478125 x 10^-5 m³
cubic inch (cu in) – 1.6387064 x 10^-5 m³
fluid ounce (fl oz, usa) – 2.95735295625 x 10^-5 m³
cup (usa) – 2.365882365 x 10^-4 m³
pint (pt, usa liquid) – 4.73176473 x 10^-4 m³
quart (qt, usa liquid) – 9.46352946 x 10^-4 m³
gallon (gal, usa liquid) – 3.785411784 x 10^-3 m³
cubic foot (cu ft) – 0.028316846592 m³
barrel (bbl, oil) – 0.158987294928 m³
cubic yard (cu yd) – 0.764554857984 m³
cubic mile (cu mi) – 4168181825.440579584 m³
cubic nautical mile (cu nmi) – 6352182208 m³

Litres Metric Prefix Volumetric Units

quectolitre (qL) – 1 x 10^-33 m³
rontolitre (rL) – 1 x 10^-30 m³
yoctolitre (yL) – 1 x 10^-27 m³
zeptolitre (zL) – 1 x 10^-24 m³
attolitre (aL) – 1 x 10^-21 m³
femtolitre (fL) – 1 x 10^-18 m³
picolitre (pL) – 1 x 10^-15 m³
nanolitre (sqnL) – 1 x 10^-12 m³
microlitre (sqµL) – 1 x 10^-9m³
millilitre (sqmL) – 0.000001m³
centilitre (sqcL) – 0.00001m³
decilitre (dL) – 0.0001 m³
litre (sqL) – 0.001m²
decalitre (daL) – 0.01 m³
hectolitre (hL) – 0.1 m³
kilolitre (sqkL) – 1m³
megalitre (ML) – 1,000 m³
gigalitre (GL) – 1,000,000 m³
teralitre (TL) – 1 x 10⁺⁹ m³
petalitre (PL) – 1 x 10⁺¹² m³
exalitre (EL) – 1 x 10⁺¹⁵ m³
zettalitre (ZL) – 1 x 10⁺¹⁸ m³
yottalitre (YL) – 1 x 10⁺²¹ m³
ronnalitre (RL) – 1 x 10⁺²⁴ m³
quettalitre (QL) – 1 x 10⁺²⁷ m³

Cubic Metres SI Metric Prefix Volumetric Units

cubic quectometre (cu qm) – 1 x 10^-90 m³
cubic rontometre (cu rm) – 1 x 10^-81 m³
cubic yoctometre (cu ym) – 1 x 10^-72 m³
cubic zeptometre (cu zm) – 1 x 10^-63 m³
cubic attometre (cu am) – 1 x 10^-54 m³
cubic femtometre (cu fm) – 1 x 10^-45 m³
cubic picometre (cu pm) – 1 x 10^-36 m³
cubic nanometre (cunm) – 1 x 10^-27 m³
cubicmicrometre (cuµm) – 1 x 10^-18m³
cubicmillimetre (cumm) – 1 x 10^-9m³
cubiccentimetre (cucm) – 0.000001m³
cubic decimetre (cu dm) – 0.001 m³
cubicmetre (cum) – 1m³
cubic decametre (cu dam) – 1000 m³
cubic hectometre (cu hm) – 1,000,000 m³
cubickilometre (cukm) – 1 x 10⁺⁹ m³
cubic megametre (cu Mm) – 1 x 10⁺¹⁸ m³
cubic gigametre (cu Gm) – 1 x 10⁺²⁷ m³
cubic terametre (cu Tm) – 1 x 10⁺³⁶ m³
cubic petametre (cu Pm) – 1 x 10⁺⁴⁵ m³
cubic exametre (cu Em) – 1 x 10⁺⁵⁴ m³
cubic zettametre (cu Zm) – 1 x 10⁺⁶³ m³
cubic yottametre (cu Ym) – 1 x 10⁺⁷² m³
cubic ronnametre (cu Rm) – 1 x 10⁺⁸¹ m
cubic quettametre (cu Qm) – 1 x 10⁺⁹⁰ m

Cubic Astronomical Units

cubic astronomical unit (cu au) – 3.347928975810748964239359243 x 10⁺³³m³
cubic light-year (cu ly) – 8.4678666462371516595551248694562 x 10⁺⁴⁷m³
cubic parsec (cu pc) – 2.937998946096347255544756436543… x 10⁺⁴⁹m³
cubic kiloparsec (cu kpc) – 2.937998946096347255544756436543… x 10⁺⁵⁸m³
cubic megaparsec (cu Mpc) – 2.937998946096347255544756436543… x 10⁺⁶⁷m³
cubic gigaparsec (cu Gpc) – 2.937998946096347255544756436543… x 10⁺⁷⁶m³

Applications

Use this length x widthx height calculator to determine the volumein the following applications:

Volume of package to be dispatched to add to shipping paperwork
Gravel volumerequired to fill a path, car park or driveway.
Rectangular storage tank capacity.
Car, truck or van load space volume capacity.
Car load volume to move storage.
Maximum volume capacity a water tank will hold.
How much fuel is required to fill a tank.
Size of bund required to contain leaks and spillages from IBC containers.
Number of bags required for each material for a building project.
Quantityof soil required to fill a planter box.
Amount of water required to fill a fish tank/aquarium.
Fillcapacity for a pond.
Warehouse room storage capacity from dimensions.
IBC volume capacity.
Swimming pool fill volume.
Luggage space possible inside a suitcase.
Cement mix required to fill foundations/footings.
Pickup truck bed volume capacity.
Audio speaker enclosure volume.
Trough capacity for feeding animals.
Garden shed, Sunhouse or Greenhouse cement pad volume.

Help

25 x 10 x 12 inch tank in US gallons

How many US gallons will a 10 inchs wide 12 inchs high and 25 inchs long tank hold?

Assuming internal dimensions or no wall thickness, the volume of the tank is 12.987013 US Gallons.